Question

It took Mort one hour to ride 5 3/4 miles on his bike. How far will mort be able to ride in 3 1/2 hours?

Answer 1

In 1 hour Mort rides
`5(3)/(4)` miles on his bike.

We will convert the mixed fraction to improper fraction first.

`5(3)/(4) =((5)(4)+3)/(4)=(20+3)/(4) =(23)/(4)`

We have to find the distance Mort will able to ride in
`3(1)/(2)` hours.

`3(1)/(2) =((3)(2)+1)/(2)=(6+1)/(2) =(7)/(2)`

So in
`(7)/(2)` hours Mort will ride

=
`((23)/(4))((7)/(2))` miles

=
`((23)(7))/((4)(2))` miles

=
`(161)/(8)` miles

Now we will convert this improper fraction to mixed fraction. We will get,

`(161)/(8) = 20(1)/(8)` miles

We have got the required answer here.

Mort will be able to ride
`20(1)/(8)` miles.